31048807680 has 1152 divisors, whose sum is σ = 129696215040. Its totient is φ = 6958448640.

The previous prime is 31048807651. The next prime is 31048807681. The reversal of 31048807680 is 8670884013.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×31048807680³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31048807681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463415007 + ... + 463415073.

It is an arithmetic number, because the mean of its divisors is an integer number (112583520).

Almost surely, 2^31048807680 is an apocalyptic number.

31048807680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31048807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64848107520).

31048807680 is an abundant number, since it is smaller than the sum of its proper divisors (98647407360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31048807680 is a wasteful number, since it uses less digits than its factorization.

31048807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 31048807680 in words is "thirty-one billion, forty-eight million, eight hundred seven thousand, six hundred eighty".